Name:    Chapter 4 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Determine the quadrant in which an angle, q, lies if radians.
 a. 4th quadrant b. 3rd quadrant c. 1st quadrant d. 2nd quadrant

2.

Determine two coterminal angles (one positive and one negative) for .
 a. b. c. d. e.

3.

Find (if possible) the complement of .
 a. b. not possible c. d. e.

4.

Find (if possible) the supplement of .
 a. b. c. d. e. not possible

5.

Rewrite in degree measure. Round to three decimal places.
 a. b. c. d. e.

6.

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.
 a. b. c. d. e.

7.

Find the point on the unit circle that corresponds to the real number . Use your results to evaluate .
 a. b. c. d. e.

8.

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when , rounding answer to four decimal places.
 a. 4.9729 cm b. 14.4072 cm c. –1.4981 cm d. –0.1310 cm e. –1.7935 cm

9.

Find the exact value of , using the triangle shown in the figure below, if .

 a. b. c. d. e.

10.

Given and , determine the following.
 a. b. c. d. e. undefined

11.

Determine the exact value of .
 a. b. –1 c. d. 1 e.

12.

Find a and d for the function such that the graph of matches the graph below.
 a. b. c. d. e.

13.

Which of the following functions is represented by the graph below?
 a. b. c. d. e.

14.

Use a graphing utility to graph the expression below, making sure to show at least two periods.
 a. b. c. d. e.

15.

Use an inverse function to write q as a function of x.
 a. b. c. d. e.

16.

Find the exact value of .
 a. b. c. d. e.

17.

Write an algebraic expression that is equivalent to .
 a. b. c. d. e.

18.

If and , determine the value of . Round to two decimal places.
 a. b. c. d. e.

19.

The angle of elevation of the sun is . Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round answer to two decimal places.
 a. feet b. feet c. feet d. feet e. feet

20.

A plane is 48 miles west and 49 miles north of an airport. The pilot wants to fly directly to the airport. What bearing should the pilot take? Answer should be given in degrees and minutes.
 a. b. c. d. e.